Finding the Third Proportional to 17,683.50 and 38,489.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,683.50 : 38,489.25 = 38,489.25 : x
2. Step 2: Convert to fraction form
   17,683.50/38,489.25 = 38,489.25/x
3. Step 3: Cross multiply
   17,683.50x = 38,489.25 × 38,489.25
4. Step 4: Simplify right side
   17,683.50x = 1,481,422,365.56
5. Step 5: Solve for x
   x = 1,481,422,365.56/17,683.50
6. Step 6: Final answer
   x = 83,774.27